4762620800 has 192 divisors, whose sum is σ = 13534624800. Its totient is φ = 1622138880.

The previous prime is 4762620773. The next prime is 4762620809. The reversal of 4762620800 is 80262674.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762620809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3874586 + ... + 3875814.

Almost surely, 2^4762620800 is an apocalyptic number.

4762620800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4762620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767312400).

4762620800 is an abundant number, since it is smaller than the sum of its proper divisors (8772004000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4762620800 is a wasteful number, since it uses less digits than its factorization.

4762620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 4762620800 is about 69011.7439281170. The cubic root of 4762620800 is about 1682.4751874303.

The spelling of 4762620800 in words is "four billion, seven hundred sixty-two million, six hundred twenty thousand, eight hundred".